On the convergence of interpolatory product integration rules based on Gauss, Radau and Lobatto points

DOI10.1007/BF02776240zbMath0619.41023MaRDI QIDQ1089549

Philip Rabinowitz

Publication date: 1986

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencetruncation errorRiemann integrable functionsLobatto integration ruleGauss integration ruleInterpolatory product integrationRadau integration rule

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (5)

The work of Philip Rabinowitz on numerical integration ⋮ Orthogonality, interpolation and quadratures on the unit circle and the interval \([-1,1\)] ⋮ Interpolatory product integration in the presence of singularities: \(L_ 2\) theory ⋮ On the dense unbounded divergence of interpolatory product integration on Jacobi nodes ⋮ On an interpolatory product rule for evaluating Cauchy principal value integrals

Cites Work

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• On the convergence of closed interpolatory integration rules based on the zeros of Gegenbauer polynomials
• The convergence of interpolatory product integration rules
• Mean Convergence of Lagrange Interpolation. III
• Properties of Interpolatory Product Integration Rules
• CONVERGENCE IN THE MEAN AND ALMOST EVERYWHERE OF FOURIER SERIES IN POLYNOMIALS ORTHOGONAL ON AN INTERVAL
• Product-integration rules and their convergence

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